| Which term of the AP 121, 117, 113, …. is its first negative term

A. 32

B. 35

C. 33

D. 36

### Right Answer is: A

#### SOLUTION

The given AP is 121, 117, 113, …….

Here, a = 121 and

d = 117-121=-4

Let the nth term of the given AP be the first negative term. Then

a_{n}<0

121+(n-1)(-4)<0

125-4n<0

-4n<-125

n<125/4

n<31

n=32

hence, 32^{nd} term is the first negative term of the AP.